Dark soliton solution for higher-order nonlinear Schrödinger equation with variable coefficients

2004 ◽  
Vol 242 (1-3) ◽  
pp. 285-293 ◽  
Author(s):  
Rongcao Yang ◽  
Ruiyu Hao ◽  
Lu Li ◽  
Zhonghao Li ◽  
Guosheng Zhou
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Soliton Solution ◽  
Schrodinger Equation ◽  
Dark Soliton ◽  
Variable Coefficients ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

EXACT DARK SOLITON SOLUTION OF THE GENERALIZED NONLINEAR SCHRÖDINGER EQUATION

2009 ◽  
Vol 23 (24) ◽  
pp. 2869-2888 ◽  
Author(s):  
YI ZHANG ◽  
XIAO-NA CAI ◽  
CAI-ZHEN YAO ◽  
HONG-XIAN XU
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Soliton Solution ◽  
Schrodinger Equation ◽  
Dark Soliton ◽  
Nonlinear Schrodinger Equation ◽  
Bilinear Method ◽  
Nonlinear Schrödinger ◽  
Generalized Nonlinear Schrödinger Equation ◽  
Hirota Bilinear

The generalized nonlinear Schrödinger equation with the variable coefficient is discussed, and the exact dark N-soliton solution is presented by using the Hirota bilinear method, from finding the 1-soliton to 2-soliton, and then we obtain the N-soliton solution. With the aid of Maple, a few figures of solutions under several different cases are shown when aleatoric constants and variables are given exact values.

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